Least Common Multiple (LCM) of 138 and 56
The least common multiple (LCM) of 138 and 56 is 3864.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 138 and 56?
First, calculate the GCD of 138 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 56 = 2 remainder 26 |
| 2 | 56 ÷ 26 = 2 remainder 4 |
| 3 | 26 ÷ 4 = 6 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 138 | 20838 |
| 50 and 96 | 2400 |
| 57 and 11 | 627 |
| 101 and 94 | 9494 |
| 103 and 61 | 6283 |